en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor x^4+x^2+25

Solution

factor

x^{4} + x^{2} + 25

Solution

(x^{2} + 3 x + 5) (x^{2} - 3 x + 5)

Solution steps

x^{4} + x^{2} + 25

Add and subtract

9 x^{2}

= x^{4} + 10 x^{2} + 25 - 9 x^{2}

Factor

x^{4} + 10 x^{2} + 25 : (x^{2} + 5)^{2}

= (x^{2} + 5)^{2} - 9 x^{2}

Factor

(x^{2} + 5)^{2} - 9 x^{2} : (x^{2} + 5 + 3 x) (x^{2} + 5 - 3 x)

= (x^{2} + 5 + 3 x) (x^{2} + 5 - 3 x)

= (x^{2} + 3 x + 5) (x^{2} - 3 x + 5)

Popular Examples

simplify 1*(-5)simplify

1 \cdot (- 5)

\frac{75}{50}

simplify (x^9)/(x^{-3)}simplify

\frac{x ^{9}}{x ^{- 3}}

simplify (-3/2 x+3)^2 simplify

(- \frac{3}{2} x + 3)^{2}

simplify 5sqrt(-27)simplify

5 - 27

Frequently Asked Questions (FAQ)

What is factor x^4+x^2+25 ?
The solution to factor x^4+x^2+25 is (x^2+3x+5)(x^2-3x+5)